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| 1 | +package com.codefork.aoc2024.day21; |
| 2 | + |
| 3 | +import com.codefork.aoc2024.Problem; |
| 4 | +import com.codefork.aoc2024.util.Assert; |
| 5 | + |
| 6 | +import java.util.ArrayList; |
| 7 | +import java.util.Comparator; |
| 8 | +import java.util.HashMap; |
| 9 | +import java.util.HashSet; |
| 10 | +import java.util.LinkedList; |
| 11 | +import java.util.List; |
| 12 | +import java.util.Map; |
| 13 | +import java.util.stream.Collectors; |
| 14 | +import java.util.stream.IntStream; |
| 15 | +import java.util.stream.Stream; |
| 16 | + |
| 17 | +import static com.codefork.aoc2024.util.FoldLeft.foldLeft; |
| 18 | + |
| 19 | +public class Part01 extends Problem { |
| 20 | + |
| 21 | + public record Position(int x, int y) { |
| 22 | + |
| 23 | + } |
| 24 | + |
| 25 | + public record Button(String symbol, Position pos) { |
| 26 | + |
| 27 | + public boolean isAdjacent(Button other) { |
| 28 | + var xDiff = Math.abs(pos().x() - other.pos().x()); |
| 29 | + var yDiff = Math.abs(pos().y() - other.pos().y()); |
| 30 | + return xDiff + yDiff == 1; |
| 31 | + } |
| 32 | + |
| 33 | + /** |
| 34 | + * returns the action symbol when navigating from this button to (adjacent) target |
| 35 | + */ |
| 36 | + public String getAction(Button target) { |
| 37 | + var xDiff = pos().x() - target.pos().x(); |
| 38 | + var yDiff = pos().y() - target.pos().y(); |
| 39 | + if(xDiff > 0) { |
| 40 | + return "<"; |
| 41 | + } else if(xDiff < 0) { |
| 42 | + return ">"; |
| 43 | + } |
| 44 | + if(yDiff > 0) { |
| 45 | + return "^"; |
| 46 | + } else if (yDiff < 0) { |
| 47 | + return "v"; |
| 48 | + } |
| 49 | + throw new RuntimeException("buttons aren't adjacent in getAction=" + this + "," + target); |
| 50 | + } |
| 51 | + } |
| 52 | + |
| 53 | + public record Move(Button from, Button to) { |
| 54 | + |
| 55 | + } |
| 56 | + |
| 57 | + public record ShortestPaths(Button source, Map<Button, Integer> dist, Map<Button, Button> prev) { |
| 58 | + |
| 59 | + // Dijkstra, yet again. |
| 60 | + // this is probably overkill since there's not weighted edges in the graph |
| 61 | + // but I've already implemented it twice so far for AoC, so it's the easiest way |
| 62 | + // for me to create shortest paths at this point |
| 63 | + private static ShortestPaths create(List<Button> buttons, Map<Button, List<Button>> graph, Button source) { |
| 64 | + record ButtonWithDist(Button button, int dist) { |
| 65 | + |
| 66 | + } |
| 67 | + var dist = new HashMap<Button, Integer>(); |
| 68 | + var prev = new HashMap<Button, Button>(); |
| 69 | + var q = new HashSet<Button>(); |
| 70 | + |
| 71 | + for(var button : buttons) { |
| 72 | + dist.put(button, Integer.MAX_VALUE); |
| 73 | + q.add(button); |
| 74 | + } |
| 75 | + dist.put(source, 0); |
| 76 | + |
| 77 | + while(!q.isEmpty()) { |
| 78 | + var u = q.stream() |
| 79 | + .map(button -> new ButtonWithDist(button, dist.get(button))) |
| 80 | + .min(Comparator.comparingInt(ButtonWithDist::dist)) |
| 81 | + .orElseThrow() |
| 82 | + .button(); |
| 83 | + q.remove(u); |
| 84 | + |
| 85 | + var neighborsInQ = graph.get(u).stream() |
| 86 | + .filter(q::contains) |
| 87 | + .toList(); |
| 88 | + |
| 89 | + for(var v : neighborsInQ) { |
| 90 | + var alt = dist.get(u) + 1; |
| 91 | + if (alt < dist.get(v)) { |
| 92 | + dist.put(v, alt); |
| 93 | + prev.put(v, u); |
| 94 | + } |
| 95 | + } |
| 96 | + } |
| 97 | + return new ShortestPaths(source, dist, prev); |
| 98 | + } |
| 99 | + |
| 100 | + public List<Button> getPath(Button target) { |
| 101 | + var s = new LinkedList<Button>(); |
| 102 | + var u = target; |
| 103 | + if(prev.containsKey(u) || u.equals(source)) { |
| 104 | + while(u != null) { |
| 105 | + s.addFirst(u); |
| 106 | + u = prev.get(u); |
| 107 | + } |
| 108 | + } |
| 109 | + return s; |
| 110 | + } |
| 111 | + |
| 112 | + public String getPresses(Button target) { |
| 113 | + var path = getPath(target); |
| 114 | + var result = IntStream.range(1, path.size()).boxed() |
| 115 | + .collect(foldLeft( |
| 116 | + StringBuilder::new, |
| 117 | + (acc, i) -> { |
| 118 | + var button = path.get(i); |
| 119 | + var prevButton = path.get(i-1); |
| 120 | + var action = prevButton.getAction(button); |
| 121 | + acc.append(action); |
| 122 | + return acc; |
| 123 | + }) |
| 124 | + ); |
| 125 | + return result.append("A").toString(); |
| 126 | + } |
| 127 | + } |
| 128 | + |
| 129 | + public static class Keypad { |
| 130 | + private final List<Button> buttons; |
| 131 | + |
| 132 | + private final Map<String, Button> buttonsMap; |
| 133 | + |
| 134 | + private final Map<Move, String> movesToPaths; |
| 135 | + |
| 136 | + public Keypad(List<Button> buttons) { |
| 137 | + this.buttons = buttons; |
| 138 | + this.buttonsMap = buttons.stream() |
| 139 | + .collect(Collectors.toMap( |
| 140 | + Button::symbol, |
| 141 | + b -> b)); |
| 142 | + |
| 143 | + this.movesToPaths = createShortestPaths(); |
| 144 | + } |
| 145 | + |
| 146 | + private Map<Move, String> createShortestPaths() { |
| 147 | + Map<Move, String> result = new HashMap<>(); |
| 148 | + |
| 149 | + // generate graph of adjacent buttons |
| 150 | + var graph = new HashMap<Button, List<Button>>(); |
| 151 | + for(var i=0; i < buttons.size(); i++) { |
| 152 | + var button1 = buttons.get(i); |
| 153 | + for(var j=i; j < buttons.size(); j++) { |
| 154 | + var button2 = buttons.get(j); |
| 155 | + if(button1.isAdjacent(button2)) { |
| 156 | + if(!graph.containsKey(button1)) { |
| 157 | + graph.put(button1, new ArrayList<>()); |
| 158 | + } |
| 159 | + graph.get(button1).add(button2); |
| 160 | + if(!graph.containsKey(button2)) { |
| 161 | + graph.put(button2, new ArrayList<>()); |
| 162 | + } |
| 163 | + graph.get(button2).add(button1); |
| 164 | + } |
| 165 | + } |
| 166 | + } |
| 167 | + |
| 168 | + // generate shortest paths for every button to every other button |
| 169 | + for(var i=0; i < buttons.size(); i++) { |
| 170 | + var button1 = buttons.get(i); |
| 171 | + var shortestPaths = ShortestPaths.create(buttons, graph, button1); |
| 172 | + var otherButtons = buttons.stream().filter(b -> !b.equals(button1)).toList(); |
| 173 | + for (var button2 : otherButtons) { |
| 174 | + var presses = shortestPaths.getPresses(button2); |
| 175 | + result.put(new Move(button1, button2), presses); |
| 176 | + } |
| 177 | + } |
| 178 | + return result; |
| 179 | + } |
| 180 | + |
| 181 | + public Map<String, Button> getButtonsMap() { |
| 182 | + return buttonsMap; |
| 183 | + } |
| 184 | + |
| 185 | + public Map<Move, String> getMovesToPaths() { |
| 186 | + return movesToPaths; |
| 187 | + } |
| 188 | + } |
| 189 | + |
| 190 | + public static class KeypadNavigator { |
| 191 | + |
| 192 | + private final Keypad keypad; |
| 193 | + private final Button current; |
| 194 | + |
| 195 | + public KeypadNavigator(Keypad keypad, String current) { |
| 196 | + this.keypad = keypad; |
| 197 | + this.current = this.keypad.getButtonsMap().get(current); |
| 198 | + } |
| 199 | + |
| 200 | + public String getPresses(String seq) { |
| 201 | + StringBuilder presses = new StringBuilder(); |
| 202 | + var c = current; |
| 203 | + while(!seq.isEmpty()) { |
| 204 | + var symbol = seq.substring(0, 1); |
| 205 | + var next = keypad.getButtonsMap().get(symbol); |
| 206 | + if(next.equals(c)) { |
| 207 | + presses.append("A"); |
| 208 | + } else { |
| 209 | + var move = new Move(c, next); |
| 210 | + presses.append(keypad.getMovesToPaths().get(move)); |
| 211 | + } |
| 212 | + c = next; |
| 213 | + seq = seq.substring(1); |
| 214 | + } |
| 215 | + return presses.toString(); |
| 216 | + } |
| 217 | + |
| 218 | + } |
| 219 | + |
| 220 | + public static class DoorKeypadNavigator extends KeypadNavigator { |
| 221 | + |
| 222 | + private static final List<Button> doorButtons = List.of( |
| 223 | + new Button("7", new Position(0, 0)), |
| 224 | + new Button("8", new Position(1, 0)), |
| 225 | + new Button("9", new Position(2, 0)), |
| 226 | + new Button("4", new Position(0, 1)), |
| 227 | + new Button("5", new Position(1, 1)), |
| 228 | + new Button("6", new Position(2, 1)), |
| 229 | + new Button("1", new Position(0, 2)), |
| 230 | + new Button("2", new Position(1, 2)), |
| 231 | + new Button("3", new Position(2, 2)), |
| 232 | + new Button("0", new Position(1, 3)), |
| 233 | + new Button("A", new Position(2, 3)) |
| 234 | + ); |
| 235 | + |
| 236 | + private static final Keypad doorKeypad = new Keypad(doorButtons); |
| 237 | + |
| 238 | + public DoorKeypadNavigator(String startSymbol) { |
| 239 | + super(doorKeypad, startSymbol); |
| 240 | + } |
| 241 | + |
| 242 | + } |
| 243 | + |
| 244 | + public static class DirectionalKeypadNavigator extends KeypadNavigator { |
| 245 | + |
| 246 | + private static final List<Button> robotButtons = List.of( |
| 247 | + new Button("^", new Position(1, 0)), |
| 248 | + new Button("A", new Position(2, 0)), |
| 249 | + new Button("<", new Position(0, 1)), |
| 250 | + new Button("v", new Position(1, 1)), |
| 251 | + new Button(">", new Position(2, 1)) |
| 252 | + ); |
| 253 | + |
| 254 | + private static final Keypad robotKeypad = new Keypad(robotButtons); |
| 255 | + |
| 256 | + public DirectionalKeypadNavigator(String startSymbol) { |
| 257 | + super(robotKeypad, startSymbol); |
| 258 | + } |
| 259 | + |
| 260 | + } |
| 261 | + |
| 262 | + public int getNumericPortion(String str) { |
| 263 | + return Integer.parseInt(str.chars() |
| 264 | + .boxed() |
| 265 | + .map(ch -> String.valueOf((char) ch.intValue())) |
| 266 | + .filter(s -> { |
| 267 | + try { |
| 268 | + Integer.parseInt(s); |
| 269 | + } catch(NumberFormatException e) { |
| 270 | + return false; |
| 271 | + } |
| 272 | + return true; |
| 273 | + }) |
| 274 | + .collect(Collectors.joining())); |
| 275 | + } |
| 276 | + |
| 277 | + public String solve(Stream<String> data) { |
| 278 | + var navigators = List.of( |
| 279 | + new DoorKeypadNavigator("A"), |
| 280 | + new DirectionalKeypadNavigator("A"), |
| 281 | + new DirectionalKeypadNavigator("A") |
| 282 | + ); |
| 283 | + |
| 284 | + record SeqWithFinalPresses(String seq, String finalPresses) { |
| 285 | + |
| 286 | + } |
| 287 | + |
| 288 | + var total = data |
| 289 | + .map(seq -> { |
| 290 | + var presses = seq; |
| 291 | + for (var navigator : navigators) { |
| 292 | + presses = navigator.getPresses(presses); |
| 293 | + var aCount = presses.chars().filter(ch -> ((char) ch) == 'A').count(); |
| 294 | + System.out.println(presses + " num A's=" + aCount); |
| 295 | + } |
| 296 | + return new SeqWithFinalPresses(seq, presses); |
| 297 | + }) |
| 298 | + .map(s -> s.finalPresses.length() * getNumericPortion(s.seq)) |
| 299 | + .mapToInt(i -> i) |
| 300 | + .sum(); |
| 301 | + |
| 302 | + return String.valueOf(total); |
| 303 | + } |
| 304 | + |
| 305 | + @Override |
| 306 | + public String solve() { |
| 307 | + Assert.assertEquals("126384", solve(getSampleInput())); |
| 308 | + return solve(getInput()); |
| 309 | + } |
| 310 | + |
| 311 | + public static void main(String[] args) { |
| 312 | + new Part01().run(); |
| 313 | + } |
| 314 | +} |
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